#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using pii = pair<int, int>;
#define rep(i, a, b) for (int i = (a); i <= (b); i++)
#define per(i, a, b) for (int i = (a); i >= (b); i--)
#define endl '\n'
const int N = 2e5 + 5;

bool check(int d, string s) {
  string t = s.substr(0, d);
  for (int i = d; i < s.size(); i += d) {
    string p = s.substr(i, d);
    if (p != t) return false;
  }
  return true;
}
void solve() {
  string s;
  cin >> s;
  int n = s.size();
  int ans = n;
  rep(i, 1, n / 2) {
    if (n % i) continue;
    if (check(i, s)) {
      ans = i;
      break;
    }
  }
  cout << ans << endl;
}
int main() {
  ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
  int t;
  cin >> t;
  while (t--) {
    solve();
    if (t) cout << endl;
  }
  return 0;
}